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Finding the Fourth Proportional to 1,278.50, 1,771.43 and 1,250.82

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Solution

The fourth proportional to 1,278.50, 1,771.43 and 1,250.82 is: 1,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.50 : 1,771.43 = 1,250.82 : x
  2. Step 2: Convert to fraction form
    1,278.50/1,771.43 = 1,250.82/x
  3. Step 3: Cross multiply
    1,278.50x = 1,771.43 × 1,250.82
  4. Step 4: Simplify right side
    1,278.50x = 2,215,730.30
  5. Step 5: Solve for x
    x = 2,215,730.30/1,278.50
  6. Step 6: Final answer
    x = 1,733.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.